Title :
On robustness of complete stability for a class of cellular neural networks
Author :
Marco, M. Di ; Tesi, A. ; Forti, M.
Author_Institution :
Dipt. di Sistemi e Inf., Univ. di Firenze, Italy
Abstract :
The issue of the loss of complete stability for a class of cellular neural networks (CNNs) is analyzed. It is shown that there are CNNs in this class for which a Hopf bifurcation is present, even if the interconnection matrix is arbitrarily close to some symmetric matrix. This shows that, in the general case, complete stability is not robust with respect to perturbations of nominal symmetric interconnection matrices
Keywords :
bifurcation; cellular neural nets; stability; Hopf bifurcation; cellular neural networks; complete stability; nominal symmetric interconnection matrices; robustness; symmetric matrix; Bifurcation; Cellular neural networks; Image processing; Neural networks; Neurofeedback; Neurons; Robust stability; Stability analysis; Symmetric matrices; Very large scale integration;
Conference_Titel :
Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on
Conference_Location :
Geneva
Print_ISBN :
0-7803-5482-6
DOI :
10.1109/ISCAS.2000.858708
